Question

using the given information below, which test for parallelograms proves that efgh is a parallelogram?
opposite sides are congruent
the diagonals bisect each other
opposite angles are congruent
all pairs of consecutive angles are supplementary
question 5
using the given information below, which test for parallelograms proves that qrst is

Explanation:

To determine the test for parallelograms, we analyze the diagram. The diagonals of \( EFGH \) are marked with congruent segments, indicating they bisect each other. The theorem states that if the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. The other options: "Opposite sides are congruent" would require side markings, "Opposite angles are congruent" needs angle info, and "All pairs of consecutive angles are supplementary" relates to parallel sides (not shown here via angles). So the correct test is "The diagonals bisect each other".

Answer:

The diagonals bisect each other